{
  "id": "1210.2012",
  "version": "v2",
  "published": "2012-10-07T01:19:16.000Z",
  "updated": "2012-10-12T02:09:22.000Z",
  "title": "Complete monotonicity, completely monotonic degree, integral representations, and an inequality related to the exponential, trigamma, and modified Bessel functions",
  "authors": [
    "Feng Qi",
    "Shu-Hong Wang"
  ],
  "comment": "6 pages",
  "journal": "Feng Qi and Shu-Hong Wang, Global Journal of Mathematical Analysis 2 (2014), no. 3, 91--97",
  "doi": "10.14419/gjma.v2i3.2919",
  "categories": [
    "math.CA",
    "math.CV"
  ],
  "abstract": "In the paper, the authors verify the complete monotonicity of the difference $e^{1/t}-\\psi'(t)$ on $(0,\\infty)$, compute the completely monotonic degree and establish integral representations of the remainder of the Laurent series expansion of $e^{1/z}$, and derive an inequality which gives a lower bound for the first order modified Bessel function of the first kind.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-10-12T02:09:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26A12",
      "26A48",
      "26D07",
      "30E20",
      "33B10",
      "33B15",
      "33C10",
      "33C20",
      "44A10"
    ],
    "keywords": [
      "complete monotonicity",
      "monotonic degree",
      "integral representations",
      "inequality",
      "first order modified bessel function"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.2012Q"
    }
  }
}